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Finding the Fourth Proportional to 11,442.22, 15,786.75 and 7,659.39

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Solution

The fourth proportional to 11,442.22, 15,786.75 and 7,659.39 is: 10,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.22 : 15,786.75 = 7,659.39 : x
  2. Step 2: Convert to fraction form
    11,442.22/15,786.75 = 7,659.39/x
  3. Step 3: Cross multiply
    11,442.22x = 15,786.75 × 7,659.39
  4. Step 4: Simplify right side
    11,442.22x = 120,916,875.08
  5. Step 5: Solve for x
    x = 120,916,875.08/11,442.22
  6. Step 6: Final answer
    x = 10,567.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.